Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you integrate #int e^(2x)/(1+e^(2x))dx#?

1 Answer

Narad T. · mason m

Nov 21, 2016

The answer is #=1/2ln(1+e^(2x))+C#

Explanation:

Let's do it by substitution

Let #u=1+e^(2x)#

then, #du=2e^(2x)dx#

#int(e^(2x)dx)/(1+e^(2x))#

#=1/2int(du)/u=1/2lnabsu#

#=1/2ln(1+e^(2x))+C#

Related questions

See all questions in Integrals of Exponential Functions

Impact of this question

7471 views around the world

You can reuse this answer
Creative Commons License